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Maths-

SAT

Easy

Question

$fraction numerator x space plus space 2 over denominator open parentheses x space plus 2 close parentheses squared end fraction$
Which of the following expressions is equivalent to the given expression, where x $not equal to$ -2?

x + 2
$\frac{1}{x + 2}$
x² + 2x + 4
$\frac{1}{x^{2} + 2 x + 4}$

The correct answer is: $fraction numerator 1 over denominator x space plus space 2 end fraction$

$fraction numerator x plus 2 over denominator left parenthesis x plus 2 right parenthesis squared end fraction equals fraction numerator left parenthesis x plus 2 right parenthesis over denominator left parenthesis x plus 2 right parenthesis left parenthesis x plus 2 right parenthesis end fraction equals fraction numerator 1 over denominator x plus 2 end fraction$

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